臺灣博碩士論文加值系統

在本篇論文中，我們基於耦合傳輸線(coupled transmission lines)的觀念來建立準確的高頻等效電路模型，以便於預測嵌入式電容(embed-ded capacitor)的高頻特性。並且針對因電容的邊際效應(fringing ef-fect)而產生的邊際電容(fringing capacitance)提出一新的估算方法。
為了能精確計算因傳輸線接面不連續所產生的效應(step disconti-nuity)，在此以時域有限差分法( Finite-Difference Time-Domain；FD-TD)來分析並萃取(extract)其不連續接面的等效電路，再配合動差法(Mo-ment Method；MoM)的模擬，以便於快速建立嵌入式被動元件的等效模型並分析其高頻行為。
最後由數值計算與等效電路模型所得到的頻率響應可看出其結果在寬廣的頻域範圍內皆非常一致。

An accurate high-frequency equivalent-circuit model based on the concept of coupled transmission lines and a novel tech- nique for estimating the fringing capacitance of embedded capac-itors are presented in this investigation. To analyze the char-acteristics and high-frequency behavior of buried passive el-ement, the finite-difference time-domain (FD-TD) approach and moment method (MoM) are applied. Excellent agreement between the numerical results and equivalent-circuit models is observed over a wide range of spectrum.

中文摘要 i
英文摘要 ii
誌謝 iii
目錄 iv
表目錄 v
圖目錄 vi
第一章 導論 1
第二章 嵌入式電容的邊際電容估算方法與高頻等效模型 8
2-1 邊際電容的估算方法 8
2-1.1 二維位移條狀線在均勻介電質中的邊際電容公式 8
2-1.2 二維位移條狀線在非均勻介電質中的邊際電容公式 9
2-1.3 平行板電容在均勻介電質中的邊際電容計算 10
2-1.4 平行板電容在非均勻介電質中的邊際電容計算 11
2-2 高頻等效模型 12
2-2.1 接面不連續效應之分析方法與其等效電路 13
2-2.2 並聯電容結構的高頻等效模型 13
2-2.3 串聯電容結構的高頻等效模型(I) 14
2-2.4 串聯電容結構的高頻等效模型(II) 14
第三章 數值結果與討論 27
3-1 邊際電容的理論推算與數值結果之比較 27
3-1.1 邊際電容的參數萃取 27
3-1.2 邊際電容與電容面積的關係 28
3-1.3 邊際電容與基板介電質、介質厚度的關係 28
3-2 並聯電容結構的高頻等效模型參數 29
3-3 串聯電容結構的高頻等效模型參數 29
3-4 高頻等效電路模型之比較 30
3-5 接面不連續效應對諧振頻率的影響 31
3-6 電容的長寬比例對諧振頻率的影響 31
3-7 雜散電容對嵌入式電容特性的影響 32
3-8 數值驗證 33
第四章 結論 67
參考文獻 68

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